Divisible By 360

Number Theory Level pending

Let A , B A,B and C C be 3 distinct single digit non-negative integer other than 1, 5, 2 such that the 6-digit integer, 1 A 5 B 2 C \overline{1A5B2C} is divisible by 360. Find the value of A + B + C A+B+C .


The answer is 10.

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